 
(* ::Section:: *)
(* Integrate3 *)
(* ::Text:: *)
(*Integrate3 contains the integral table used by Integrate2. Integration is performed in a distributional sense. Integrate3 works more effectively on a sum of expressions if they are expanded or collected with respect to the integration variable. See the examples in Integrate2..*)


(* ::Subsection:: *)
(* See also *)
(* ::Text:: *)
(*Integrate2.*)



(* ::Subsection:: *)
(* Examples *)



Integrate3[x^OPEm Log[x],{x,0,1}]

Integrate3[(x^OPEm Log[x] Log[1-x])/(1-x),{x,0,1}]

Integrate3[a (x^OPEm Log[x] Log[1-x])/(1-x)+b (x^OPEm PolyLog[3,-x])/(1+x),{x,0,1}]

Integrate3[DeltaFunctionPrime[1-x],{x,0,1}]

Integrate3[f[x] DeltaFunctionPrime[1-x],{x,0,1}]

Integrate3[1/(1-x),{x,0,1}]
